Contrary to reports, multiple sources tell PEOPLE the couple won't be walking down the aisle any time soon.

Calling the latest rumors "false," one source says, "There is no evidence nor any single truth" to recent published reports that the couple will wed this summer or in the next few months, though the couple remain open to one day tying the knot.

After shooting, Pitt will be busy with promotion for Moneyball and Cogan's Trade, and Jolie will put the finishing touches on her directorial debut, In the Land of Blood and Honey.

Last month, in her role as a Goodwill Ambassador for the United Nations High Commissioner for Refugees, Jolie also visited two islands in the southern Mediterranean Sea to highlight the crisis in the region, which is absorbing an unprecedented wave of asylum seekers fleeing starvation and political upheaval in Africa.

Not that the couple seem to be down on the thought of marriage – and a few recent interviews helped fan the rumors.

Jolie, 36, told ABC News last year she and Pitt would get married if their kids – Maddox, 9, Pax, 7, Zahara, 6, Shiloh, 5, twins Knox and Vivienne, 3 – asked them to, saying, "I think it would be hard to say no to the kids." And Pitt, 47, told USA Weekend, "The kids ask about marriage. It's meaning more and more to them. So it's something we've got to look at."

Add to that construction going on at Chateau Miraval, their home in the south of France, as well as the recent passage of gay marriage legislation in New York state (Pitt once said he and Jolie would get married when everyone legally can), and the rumor mill churns away!